Mary Margaret McCurry of Ulster, Ireland

Looking for any information on the birth and family of Mary Margaret McCurry born 1877 in Ulster, Ireland. Not familiar with Ulster is this the county or city? Any suggestions on where I might go to try and track down her family lines there? Normal search areas are not revealing anything. She married a Patrick James Dougherty but not sure if they married in Ireland before they immigrated to the United States or not. He was supposedly from the Ballyshannon, County Down area.Any help would be appreciated.